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Finding the Fourth Proportional to 493.43, 680.93 and 283.61

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Solution

The fourth proportional to 493.43, 680.93 and 283.61 is: 391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.43 : 680.93 = 283.61 : x
  2. Step 2: Convert to fraction form
    493.43/680.93 = 283.61/x
  3. Step 3: Cross multiply
    493.43x = 680.93 × 283.61
  4. Step 4: Simplify right side
    493.43x = 193,118.84
  5. Step 5: Solve for x
    x = 193,118.84/493.43
  6. Step 6: Final answer
    x = 391.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.